It is proved that every finite-dimensional algebra is embeddable in a simple finite-dimensional algebra (a suitable isotope of a matrix algebra). An isotope of the 2nd order matrix algebra over an infinite extension of the ground field may contain a trivial ideal. Every one-sided isotope of a simple unital alternative or Jordan algebra is a simple algebra. Besides, any isotope of a central simple non-Lie Maltsev algebra of characteristic other than 2 and 3 is a simple algebra. But an isotope of a simple Jordan algebra of the symmetric bilinear form on the infinite dimensional space may contain a trivial ideal.

Problem and goal. The problem lies in the effectiveness of the formation of motivation for the productive information activities among the subjects of the educational process. The goal is determined by the need to train specialists, taking into account changes in the field of education that have occurred due to the introduction of digital technologies in education and risks of digitalization generated by technogenic processes in the educational environment. Methodology. The author's programs and funds of evaluation tools were used, practical tasks and research project topics were developed to include them in the programs of pedagogical and industrial practices of undergraduates. The materials are based on the author's developments, which are reflected in the textbooks. In practice, the following technologies have found methodological justification for the implementation of the discipline: information and communication technologies for universal use, Big Data, distance learning, blended learning, organization of project activities of students. Results. The introduction of the discipline Digital Didactics allows undergraduates to form new competencies. Conclusion. The competencies formed during the training of the discipline Digital Didactics enable to take into account the existing changes in the field of education.

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